1000133310 has 128 divisors (see below), whose sum is σ = 2719277568. Its totient is φ = 233280000.

The previous prime is 1000133297. The next prime is 1000133333. The reversal of 1000133310 is 133310001.

It is a super-2 number, since 2×1000133310² = 2000533275543112200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232805 + ... + 1233615.

It is an arithmetic number, because the mean of its divisors is an integer number (21244356).

Almost surely, 2^1000133310 is an apocalyptic number.

1000133310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359638784).

1000133310 is an abundant number, since it is smaller than the sum of its proper divisors (1719144258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000133310 is a wasteful number, since it uses less digits than its factorization.

1000133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1000133310 is about 31624.8843476146. The cubic root of 1000133310 is about 1000.0444346922.

Adding to 1000133310 its reverse (133310001), we get a palindrome (1133443311).

The spelling of 1000133310 in words is "one billion, one hundred thirty-three thousand, three hundred ten".